Details

Time bar (total: 2.9s)

sample14.0ms

Algorithm
intervals
Results
6.0ms243×body80valid
0.0ms5×body640valid
0.0ms4×body1280valid
0.0ms2×body320valid
0.0ms1×body2560valid
0.0ms1×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
8.0ms
(+ x (/ (fabs (- y x)) 2.0))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088110
122697
254097
3152297
4500197

prune43.0ms

Filtered
20 candidates to 16 candidates (80.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New16420
Fresh000
Picked011
Done000
Total16521

Merged error: 0.0b

Counts
21 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series688.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt x) (cbrt x))
162.0ms
(cbrt x)
172.0ms
(cbrt x)
163.0ms
(cbrt x)

simplify97.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune195.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh033
Picked011
Done011
Total93598

Merged error: 0.0b

Counts
98 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series195.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
48.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
48.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03751533
112741446
250011341

prune297.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1132115
Fresh022
Picked011
Done022
Total1137120

Merged error: 0.0b

Counts
120 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-prod
56×*-un-lft-identity
40×add-sqr-sqrt
32×cbrt-div
24×add-cube-cbrt
18×pow1 swap-sqr
14×flip3-+ pow1/3 associate-*r* associate-*l* flip-+ distribute-lft-out
8×add-exp-log frac-times unswap-sqr
4×expm1-log1p-u associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
18.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
15.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
45.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
54.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
49.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03932306
113222210
250021984

prune460.0ms

Filtered
160 candidates to 106 candidates (66.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1600160
Fresh033
Picked011
Done033
Total1607167

Merged error: 0.0b

Counts
167 → 7

regimes84.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample346.0ms

Algorithm
intervals
Results
183.0ms7700×body80valid
11.0ms101×body1280valid
7.0ms84×body640valid
6.0ms46×body2560valid
3.0ms45×body320valid
1.0ms25×body160valid